Side AB of a parallelogram ABCD is produced upto point E. If m<CBE = 35°, find m<ADC.

The measure of ∠ADC = 145°

Step-by-step explanation:

ABCD is a Parallelogram.

AB is produced to E .

∠CBE = 35°

We know that

∠ABC + <CBE = 180

Since , they are linear pair

➜ ∠ABC + 35° = 180°

➜ ∠ABC = 180°-35°

➜ ∠ABC = 145°

We know that

In a Parallelogram, Opposite angles are equal.

➜ The opposite angle of ∠ABC = ∠ADC

➜ ∠ADC = 145°

Therefore, The measure of ∠ADC = 145°

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